114456006716105 has 32 divisors (see below), whose sum is σ = 140911663592448. Its totient is φ = 89195416128000.

The previous prime is 114456006716087. The next prime is 114456006716113. The reversal of 114456006716105 is 501617600654411.

It is not a de Polignac number, because 114456006716105 - 2¹⁴ = 114456006699721 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114456006716105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354300155 + ... + 354623055.

It is an arithmetic number, because the mean of its divisors is an integer number (4403489487264).

Almost surely, 2^{114456006716105} is an apocalyptic number.

It is an amenable number.

114456006716105 is a deficient number, since it is larger than the sum of its proper divisors (26455656876343).

114456006716105 is a wasteful number, since it uses less digits than its factorization.

114456006716105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325577.

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 114456006716105 in words is "one hundred fourteen trillion, four hundred fifty-six billion, six million, seven hundred sixteen thousand, one hundred five".